Math 75. Mathematical Analysis I. Spring 2005.
Tentative class schedule with reading and homework assignments
This schedule is subject to change.
| Date | Text | Topic | HW Recommended | WeBWorK Assignment |
|---|---|---|---|---|
| Jan 19 | Introduction - First class | App. A: 1, 13, 19, 27, 49 App. B: 1, 7, 21, 29, 35, 37, 47 App. C: 1, 3, 11, 37 App. D: 1, 9, 19, 25, 29, 73 |
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| 1.1 | Four ways to represent a function | 1, 23, 31, 37, 53 | ||
| Jan 21 | 1.2 | Mathematical models: a catalog of essential functions | 1, 4, 7 | |
| Jan 24 | 1.3 | New functions from old functions | 3, 7, 17, 21, 31, 41, 45, 55 | Problem set 0 due 11:59 pm |
| Jan 26 | 2.1 | The tangent and velocity problems | 1, 3, 5 | Problem set 1.1 due 11:59 pm |
| Jan 28 | 2.2 | The limit of a function | 1, 5, 13, 23 | Problem set 1.3 due 11:59 pm |
| Jan 31 | 2.3 | Calculating limits using the limit laws | 3, 9, 11, 17, 21, 25, 37, 39 | Problem set 2.1 due 11:59 pm |
| Feb 2 | 2.5 | Continuity | 1, 3, 15, 35, 39, 45, 51 | Problem set 2.2 due 11:59 pm |
| Feb 4 | 2.6 | Tangents, Velocities, and Other Rates of Change | 7, 15, 19 | Problem set 2.3 due 11:59 pm |
| Feb 7 | 3.1 | Derivatives | 3, 7, 13, 19, 25 | Problem set 2.5 due 11:59 pm |
| Feb 9 | 3.2 | The derivative as a function | 1, 4, 9, 19, 21, 25, 27, 35, 41 | Problem set 2.6 due 11:59 pm |
| Feb 11 | 3.3 | Differentiation formulas | 1, 5, 9, 13, 19, 29, 41 | Problem set 3.1 due 11:59 pm |
| Feb 14 | 3.4 | Rates of change in the natural and social sciences | 3, 9, 15, 29 | Problem set 3.2 due 11:59 pm |
| Feb 16 | Review: Theory, Problems, Answers | Chapter 1 review: 5, 9, 15, 17, 19 Chapter 2 review: 3, 5, 7, 13, 23, 27 Chapter 3 review: 1, 5, 11, 15, 19, 69 |
Problem set 3.3 due 11:59 pm | |
| Feb 18 | Mathematica - meet in S2 321 | Problem set 3.4 due 11:59 pm | ||
| Feb 21 | Presidents' day - all offices closed - no classes, no office hours | |||
| Feb 22 | office hours: 11- 1. No office hours on Feb 23. | |||
| Feb 23 | Test 1 (covers 1.1 - 3.4), Solutions | |||
| Feb 25 | 3.5 | Derivatives of trigonometric functions | 1, 5, 11, 21, 35, 37, 38, 41 | |
| Feb 28 | 3.6 | The chain rule | 1, 7, 11, 17, 23, 31, 45, 53 | |
| Mar 2 | 3.7 | Implicit differentiation | 1, 13, 29, 41 | Problem set 3.5 due 11:59 pm |
| Mar 4 | 3.8 | Higher derivatives | 1, 5, 17, 25, 29, 33, 39, 43, 57 | Problem set 3.6 due 11:59 pm |
| Mar 7 | 3.9 | Related rates | 1, 3, 7, 9, 13, 23 | Problem set 3.7 due 11:59 pm |
| Mar 9 | 3.10 | Linear approximations and differentials | 5, 15, 21, 29 | Problem set 3.8 due 11:59 pm |
| Mar 11 | 4.1 | Maximum and minimum values | 3, 7, 15, 25, 33, 45, 51 | Problem set 3.9 due 11:59 pm |
| Mar 14 | 4.2 | The mean value theorem | 1, 5, 11, 17, 19 | Problem set 3.10 due 11:59 pm |
| Mar 16 | 4.3 | How derivatives affect the shape of a graph | 5, 11, 17, 22, 35, 52 | Problem set 4.1 due 11:59 pm |
| Mar 18 | 4.4 | Limits at infinity; horizontal asymptotes | 1, 3, 7, 9, 19, 21, 27, 43, 47 | Problem set 4.2 due 11:59 pm |
| Mar 21 | Spring recess - no classes, no office hours | |||
| Mar 23 | ||||
| Mar 25 | ||||
| Mar 28 | 4.5 | Summary of curve sketching: Example | 1, 9, 15, 33 | Problem set 4.3 due 11:59 pm |
| Mar 30 | Review: Theory, Problems, Answers | Chapter 3 review: 23, 25, 33, 39, 45, 55, 71, 73, 75, 77, 85 Chapter 4 review: 3, 7, 11, 17, 21, 27, 29 |
Problem set 4.4 due 11:59 pm | |
| Apr 1 | Mathematica - meet in S2 321 | Problem set 4.5 due 11:59 pm | ||
| Apr 4 | Test 2 (covers 3.4 - 4.5), Solutions | |||
| Apr 6 | 4.7 | Optimization problems | 3, 7, 11, 15, 19, 29, 31 | |
| Apr 8 | ||||
| Apr 11 | 4.9 | Newton's method | 1, 5, 13, 21 | |
| Apr 13 | 4.10 | Antiderivatives | 1, 5, 13, 25, 31, 35, 39, 47, 55, 63, 69 | Problem set 4.7 due 11:59 pm |
| Apr 15 | 5.1 | Areas and distances | 3, 15, 17, 21 | Problem set 4.9 due 11:59 pm |
| Apr 16 | Volunteers needed for the Math Field Day! | |||
| Apr 18 | 5.2 | The definite integral | 1, 9, 17, 23, 29, 33, 37, 39, 49, 55 | Problem set 4.10 due 11:59 pm |
| Apr 20 | 5.3 | The fundamental theorem of calculus | 7, 13, 17, 19, 31, 45, 63, 67 | Problem set 5.1 due 11:59 pm |
| Apr 22 | 5.4 | Indefinite integrals and the net change theorem | 5, 17, 27, 39, 43, 53 | Problem set 5.2 due 11:59 pm |
| Apr 25 | 5.5 | The substitution rule | 1, 3, 21, 37, 43, 69, 77 | Problem set 5.3 due 11:59 pm |
| Apr 27 | 6.1 | Areas between curves | 1, 5, 9, 19, 27, 40, 49 | Problem set 5.4 due 11:59 pm |
| Apr 29 | 6.2 | Volumes | 1, 5, 11, 15, 35, 43, 49 | Problem set 5.5 due 11:59 pm |
| May 2 | 6.3 | Volumes by cylindrical shells | 1, 5, 12, 21, 29, 45 | Problem set 6.1 due 11:59 pm |
| May 4 | 6.5 | Average value of a function | 1, 3, 11, 13, 17 | Problem set 6.2 due 11:59 pm |
| May 6 | Review: Theory, Problems, Answers | Chapter 4 review: 41, 47, 49, 55, 57, 61 Chapter 5 review: 1, 3, 5, 7, 13, 19, 25, 33, 37, 49 Chapter 6 review: 1, 5, 7, 9, 13, 15, 23, 27, 31 |
Problem set 6.3and6.5 due 11:59 pm | |
| May 9 | Test 3 (covers 4.7 - 6.5) | |||
| May 11 | Review: Practice final, Answers | |||
| May 12 | Consultation day. Office hours: 9:20-11:30 (all classes), 12-1:30 (Math 75 only) | |||
| May 13 | Consultation day. Those who earned the right to retake one of the tests can do so from 11:45 AM - 12:50 PM in our regular classroom | |||
| May 17 | Office hours: 1 - 2 PM (all classes), 2 - 4 PM (Math 75 only) | Optional set Review (cumulative, for extra credit) due 11:59 pm. Solutions will be available at midnight |
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| May 18 | 8 - 10 PM. McL 162. Final exam (cumulative). Bring a photo ID ! | |||